Wavelet decomposition of Calderón-Zygmund operators on function spaces

• Autores: Lixin Yan, Ka-Sing Lau
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 77, Nº 1, 2004, págs. 29-46
• Idioma: inglés
• DOI: 10.1017/s1446788700010132
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• Resumen

  • We make use of the Beylkin-Coifman-Rokhlin wavelet decomposition algorithm on the Calderón-Zygmund kernel to obtain some fine estimates on the operator and prove the theorem on Besov and Triebel-Lizorkin spaces. This extends previous results of Frazier et al., and Han and Hofmann.